to speak falsely or misleadingly; deliberately misstate or create an incorrect impression; lie.
Origin of prevaricate
1575–85; < Latinpraevāricātus, past participle of praevāricārī to straddle something, (of an advocate) collude with an opponent's advocate, equivalent to prae-pre- + vāricāre to straddle, derivative of vārus bent outwards, bow-legged
Related formspre·var·i·ca·tion, nounpre·var·i·ca·tive, pre·var·i·ca·to·ry[pri-var-i-kuh-tawr-ee, -tohr-ee]/prɪˈvær ɪ kəˌtɔr i, -ˌtoʊr i/, adjectiveun·pre·var·i·cat·ing, adjective
1580s, "to transgress," a back formation from prevarication, or else from Latin praevaricatus, past participle of praevaricari "to make a sham accusation, deviate," literally "walk crookedly;" in Church Latin, "to transgress" (see prevarication). Meaning "to speak evasively" is from 1630s. Related: Prevaricated; prevaricating.